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144542613645 = 33517233270307
BaseRepresentation
bin1000011010011101101…
…0010100000010001101
3111211002102102120012000
42012213122110002031
54332010402114040
6150222453502513
713304620641603
oct2064732240215
9454072376160
10144542613645
115633359aaa1
122401b041a39
1310826a38b71
146dd2a6b873
153b5e92b130
hex21a769408d

144542613645 has 64 divisors (see below), whose sum is σ = 273248951040. Its totient is φ = 72243062784.

The previous prime is 144542613643. The next prime is 144542613661. The reversal of 144542613645 is 546316245441.

144542613645 is a `hidden beast` number, since 1 + 4 + 4 + 542 + 61 + 3 + 6 + 45 = 666.

It is not a de Polignac number, because 144542613645 - 21 = 144542613643 is a prime.

It is a super-3 number, since 3×1445426136453 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 144542613645.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144542613643) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 399582 + ... + 669888.

It is an arithmetic number, because the mean of its divisors is an integer number (4269514860).

Almost surely, 2144542613645 is an apocalyptic number.

144542613645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144542613645 is a deficient number, since it is larger than the sum of its proper divisors (128706337395).

144542613645 is a wasteful number, since it uses less digits than its factorization.

144542613645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270571 (or 270565 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

The spelling of 144542613645 in words is "one hundred forty-four billion, five hundred forty-two million, six hundred thirteen thousand, six hundred forty-five".

Divisors: 1 3 5 9 15 17 27 45 51 85 135 153 233 255 459 699 765 1165 2097 2295 3495 3961 6291 10485 11883 19805 31455 35649 59415 106947 178245 270307 534735 810921 1351535 2432763 4054605 4595219 7298289 12163815 13785657 22976095 36491445 41356971 62981531 68928285 124070913 188944593 206784855 314907655 566833779 620354565 944722965 1070686027 1700501337 2834168895 3212058081 5353430135 8502506685 9636174243 16060290405 28908522729 48180871215 144542613645